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Finding the Fourth Proportional to 2,703.86, 4,057.76 and 1,781.37

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Solution

The fourth proportional to 2,703.86, 4,057.76 and 1,781.37 is: 2,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.86 : 4,057.76 = 1,781.37 : x
  2. Step 2: Convert to fraction form
    2,703.86/4,057.76 = 1,781.37/x
  3. Step 3: Cross multiply
    2,703.86x = 4,057.76 × 1,781.37
  4. Step 4: Simplify right side
    2,703.86x = 7,228,371.93
  5. Step 5: Solve for x
    x = 7,228,371.93/2,703.86
  6. Step 6: Final answer
    x = 2,673.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.